A transverse wave on a string has an amplitude a. A tiny spot on the string is colored red. As one cycle of the wave passes by

Option D) 4A

Explanation:

As the cycle of the wave passes by, the amplitude gives the longest journey when the spot travels from the undistributed position. During each cycle the spot travels "Four times" .

Considering one of this cycle, if it begins to travel from it's undistributed position , there would be four movements i.e

* Upward movement through distance A

*Downward movement through distance A

*Downward again through distance A

*Upward through distance A.

Then it would travel back to its undistributed position held

grav force prop 1/r squared 2r all squared is 4rsquared 1/4rsquared quartered